{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Table of Contents](./table_of_contents.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Smoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import division, print_function\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <style>\n",
       "        .output_wrapper, .output {\n",
       "            height:auto !important;\n",
       "            max-height:10000px; \n",
       "        }\n",
       "        .output_scroll {\n",
       "            box-shadow:none !important;\n",
       "            webkit-box-shadow:none !important;\n",
       "        }\n",
       "        </style>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The performance of the Kalman filter is not optimal when you consider future data. For example, suppose we are tracking an aircraft, and the latest measurement deviates far from the current track, like so (I'll only consider 1 dimension for simplicity):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "data = [10.1, 10.2, 9.8, 10.1, 10.2, 10.3, \n",
    "        10.1, 9.9, 10.2, 10.0, 9.9, 11.4]\n",
    "plt.plot(data)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('position');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After a period of near steady state, we have a very large change. Assume the change is past the limit of the aircraft's flight envelope. Nonetheless the Kalman filter incorporates that new measurement into the filter based on the current Kalman gain. It cannot reject the noise because the measurement could reflect the initiation of a turn. Granted it is unlikely that we are turning so abruptly, but it is impossible to say whether \n",
    "    \n",
    "* The aircraft started a turn awhile ago, but the previous measurements were noisy and didn't show the change.\n",
    "      \n",
    "* The aircraft is turning, and this measurement is very noisy\n",
    "    \n",
    "* The measurement is very noisy and the aircraft has not turned\n",
    "\n",
    "* The aircraft is turning in the opposite direction, and the measurement is extremely noisy\n",
    "\n",
    "\n",
    "Now, suppose the following measurements are:\n",
    "\n",
    "   11.3 12.1 13.3 13.9 14.5 15.2\n",
    "   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data2 = [11.3, 12.1, 13.3, 13.9, 14.5, 15.2]\n",
    "plt.plot(data + data2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given these future measurements we can infer that yes, the aircraft initiated a turn. \n",
    "\n",
    "On the other hand, suppose these are the following measurements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data3 = [9.8, 10.2, 9.9, 10.1, 10.0, 10.3, 9.9, 10.1]\n",
    "plt.plot(data + data3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case we are led to conclude that the aircraft did not turn and that the outlying measurement was merely very noisy. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Overview of How Smoothers Work\n",
    "\n",
    "The Kalman filter is a *recursive* filter with the Markov property - it's estimate at step `k` is  based only on the estimate from step `k-1` and the measurement at step `k`. But this means that the estimate from step `k-1` is based on step `k-2`, and so on back to the first epoch. Hence, the estimate at step `k` depends on all of the previous measurements, though to varying degrees. `k-1` has the most influence, `k-2` has the next most, and so on. \n",
    "\n",
    "Smoothing filters incorporate future measurements into the estimate for step `k`. The measurement from `k+1` will have the most effect, `k+2` will have less effect, `k+3` less yet, and so on. \n",
    "\n",
    "This topic is called *smoothing*, but I think that is a misleading name. I could smooth the data above by passing it through a low pass filter. The result would be smooth, but not necessarily accurate because a low pass filter will remove real variations just as much as it removes noise. In contrast, Kalman smoothers are *optimal* - they incorporate all available information to make the best estimate that is mathematically achievable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Types of Smoothers\n",
    "\n",
    "There are three classes of Kalman smoothers that produce better tracking in these situations.\n",
    "\n",
    "* Fixed-Interval Smoothing\n",
    "\n",
    "This is a batch processing based filter. This filter waits for all of the data to be collected before making any estimates. For example, you may be a scientist collecting data for an experiment, and don't need to know the result until the experiment is complete. A fixed-interval smoother will collect all the data, then estimate the state at each measurement using all available previous and future measurements. If it is possible for you to run your Kalman filter in batch mode it is always recommended to use one of these filters a it will provide much better results than the recursive forms of the filter from the previous chapters.\n",
    "\n",
    "\n",
    "* Fixed-Lag Smoothing\n",
    "\n",
    "Fixed-lag smoothers introduce latency into the output. Suppose we choose a lag of 4 steps. The filter will ingest the first 3 measurements but not output a filtered result. Then, when the 4th measurement comes in the filter will produce the output for measurement 1, taking measurements 1 through 4 into account. When the 5th measurement comes in, the filter will produce the result for measurement 2, taking measurements 2 through 5 into account. This is useful when you need recent data but can afford a bit of lag. For example, perhaps you are using machine vision to monitor a manufacturing process. If you can afford a few seconds delay in the estimate a fixed-lag smoother will allow you to produce very accurate and smooth results.\n",
    "\n",
    "\n",
    "* Fixed-Point Smoothing\n",
    "\n",
    "A fixed-point filter operates as a normal Kalman filter, but also produces an estimate for the state at some fixed time $j$.  Before the time $k$ reaches $j$ the filter operates as a normal filter. Once $k>j$ the filter estimates $x_k$ and then also updates its estimate for $x_j$ using all of the measurements between $j\\dots k$. This can be useful to estimate initial paramters for a system, or for producing the best estimate for an event that happened at a specific time. For example, you may have a robot that took a photograph at time $j$. You can use a fixed-point smoother to get the best possible pose information for the camera at time $j$ as the robot continues moving.\n",
    "\n",
    "## Choice of Filters\n",
    "\n",
    "The choice of these filters depends on your needs and how much memory and processing time you can spare. Fixed-point smoothing requires storage of all measurements, and is very costly to compute because the output is for every time step is recomputed for every measurement. On the other hand, the filter does produce a decent output for the current measurement, so this filter can be used for real time applications.\n",
    "\n",
    "Fixed-lag smoothing only requires you to store a window of data, and processing requirements are modest because only that window is processed for each new measurement. The drawback is that the filter's output always lags the input, and the smoothing is not as pronounced as is possible with fixed-interval smoothing.\n",
    "\n",
    "Fixed-interval smoothing produces the most smoothed output at the cost of having to be batch processed. Most algorithms use some sort of forwards/backwards algorithm that is only twice as slow as a recursive Kalman filter. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fixed-Interval Smoothing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are many fixed-lag smoothers available in the literature. I have chosen to implement the smoother invented by Rauch, Tung, and Striebel because of its ease of implementation and efficiency of computation. It is also the smoother I have seen used most often in real applications. This smoother is commonly known as an RTS smoother.\n",
    "\n",
    "Derivation of the RTS smoother runs to several pages of densely packed math. I'm not going to inflict it on you. Instead I will briefly present the algorithm, equations, and then move directly to implementation and demonstration of the smoother.\n",
    "\n",
    "The RTS smoother works by first running the Kalman filter in a batch mode, computing the filter output for each step. Given the filter output for each measurement along with the covariance matrix corresponding to each output the RTS runs over the data backwards, incorporating its knowledge of the future into the past measurements. When it reaches the first measurement it is done, and the filtered output incorporates all of the information in a maximally optimal form.\n",
    "\n",
    "The equations for the RTS smoother are very straightforward and easy to implement. This derivation is for the linear Kalman filter. Similar derivations exist for the EKF and UKF. These steps are performed on the output of the batch processing, going backwards from the most recent in time back to the first estimate. Each iteration incorporates the knowledge of the future into the state estimate. Since the state estimate already incorporates all of the past measurements the result will be that each estimate will contain knowledge of all measurements in the past and future. Here is it very important to distinguish between past, present, and future so I have used subscripts to denote whether the data is from the future or not.\n",
    "\n",
    "    Predict Step\n",
    "    \n",
    "$$\\begin{aligned}\n",
    "\\mathbf{P} &= \\mathbf{FP}_k\\mathbf{F}^\\mathsf{T} + \\mathbf{Q }\n",
    "\\end{aligned}$$\n",
    "\n",
    "    Update Step\n",
    "    \n",
    "$$\\begin{aligned}\n",
    "\\mathbf{K}_k &= \\mathbf{P}_k\\mathbf{F}^\\mathsf{T}\\mathbf{P}^{-1} \\\\\n",
    "\\mathbf{x}_k &= \\mathbf{x}_k + \\mathbf{K}_k(\\mathbf{x}_{k+1} - \\mathbf{Fx}_k) \\\\\n",
    "\\mathbf{P}_k &= \\mathbf{P}_k + \\mathbf{K}_k(\\mathbf{P}_{k+1} - \\mathbf{P})\\mathbf{K}_k^\\mathsf{T}\n",
    "\\end{aligned}$$\n",
    "\n",
    "As always, the hardest part of the implementation is correctly accounting for the subscripts. A basic implementation without comments or error checking would be:\n",
    "\n",
    "```python\n",
    "def rts_smoother(Xs, Ps, F, Q):\n",
    "    n, dim_x, _ = Xs.shape\n",
    "\n",
    "    # smoother gain\n",
    "    K = zeros((n,dim_x, dim_x))\n",
    "    x, P, Pp = Xs.copy(), Ps.copy(), Ps.copy\n",
    "\n",
    "    for k in range(n-2,-1,-1):\n",
    "        Pp[k] = dot(F, P[k]).dot(F.T) + Q # predicted covariance\n",
    "\n",
    "        K[k]  = dot(P[k], F.T).dot(inv(Pp[k]))\n",
    "        x[k] += dot(K[k], x[k+1] - dot(F, x[k]))\n",
    "        P[k] += dot(K[k], P[k+1] - Pp[k]).dot(K[k].T)\n",
    "    return (x, P, K, Pp)\n",
    "```\n",
    "        \n",
    "This implementation mirrors the implementation provided in FilterPy. It assumes that the Kalman filter is being run externally in batch mode, and the results of the state and covariances are passed in via the `Xs` and `Ps` variable.\n",
    "\n",
    "Here is an example. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy import random\n",
    "from numpy.random import randn\n",
    "import matplotlib.pyplot as plt\n",
    "from filterpy.kalman import KalmanFilter\n",
    "import kf_book.book_plots as bp\n",
    "\n",
    "def plot_rts(noise, Q=0.001, show_velocity=False):\n",
    "    random.seed(123)\n",
    "    fk = KalmanFilter(dim_x=2, dim_z=1)\n",
    "\n",
    "    fk.x = np.array([0., 1.])      # state (x and dx)\n",
    "\n",
    "    fk.F = np.array([[1., 1.],\n",
    "                     [0., 1.]])    # state transition matrix\n",
    "\n",
    "    fk.H = np.array([[1., 0.]])    # Measurement function\n",
    "    fk.P = 10.                     # covariance matrix\n",
    "    fk.R = noise                   # state uncertainty\n",
    "    fk.Q = Q                       # process uncertainty\n",
    "\n",
    "    # create noisy data\n",
    "    zs = np.asarray([t + randn()*noise for t in range (40)])\n",
    "\n",
    "    # filter data with Kalman filter, than run smoother on it\n",
    "    mu, cov, _, _ = fk.batch_filter(zs)\n",
    "    M, P, C, _ = fk.rts_smoother(mu, cov)\n",
    "\n",
    "    # plot data\n",
    "    if show_velocity:\n",
    "        index = 1\n",
    "        print('gu')\n",
    "    else:\n",
    "        index = 0\n",
    "    if not show_velocity:\n",
    "        bp.plot_measurements(zs, lw=1)\n",
    "    plt.plot(M[:, index], c='b', label='RTS')\n",
    "    plt.plot(mu[:, index], c='g', ls='--', label='KF output')\n",
    "    if not show_velocity:\n",
    "        N = len(zs)\n",
    "        plt.plot([0, N], [0, N], 'k', lw=2, label='track') \n",
    "    plt.legend(loc=4)\n",
    "    plt.show()\n",
    "    \n",
    "plot_rts(7.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I've injected a lot of noise into the signal to allow you to visually distinguish the RTS output from the ideal output. In the graph above we can see that the Kalman filter, drawn as the green dotted line, is reasonably smooth compared to the input, but it still wanders from from the ideal line when several measurements in a row are biased towards one side of the line. In contrast, the RTS output is both extremely smooth and very close to the ideal output.\n",
    "\n",
    "With a perhaps more reasonable amount of noise we can see that the RTS output nearly lies on the ideal output. The Kalman filter output, while much better, still varies by a far greater amount."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rts(noise=1.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, we must understand that this smoothing is predicated on the system model. We have told the filter that what we are tracking follows a constant velocity model with very low process error. When the filter *looks ahead* it sees that the future behavior closely matches a constant velocity so it is able to reject most of the noise in the signal. Suppose instead our system has a lot of process noise. For example, if we are tracking a light aircraft in gusty winds its velocity will change often, and the filter will be less able to distinguish between noise and erratic movement due to the wind. We can see this in the next graph.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rts(noise=7., Q=.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This underscores the fact that these filters are not *smoothing* the data in colloquial sense of the term. The filter is making an optimal estimate based on previous measurements, future measurements, and what you tell it about the behavior of the system and the noise in the system and measurements.\n",
    "\n",
    "Let's wrap this up by looking at the velocity estimates of Kalman filter vs the RTS smoother."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gu\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rts(7.,show_velocity=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The improvement in the velocity, which is an hidden variable, is even more dramatic. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fixed-Lag Smoothing\n",
    "\n",
    "The RTS smoother presented above should always be your choice of algorithm if you can run in batch mode because it incorporates all available data into each estimate. Not all problems allow you to do that, but you may still be interested in receiving smoothed values for previous estimates. The number line below illustrates this concept."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kf_book.book_plots import figsize\n",
    "from kf_book.smoothing_internal import *\n",
    "\n",
    "with figsize(y=2):\n",
    "    show_fixed_lag_numberline()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At step $k$ we can estimate $x_k$ using the normal Kalman filter equations. However, we can make a better estimate for $x_{k-1}$ by using the measurement received for $x_k$. Likewise, we can make a better estimate for $x_{k-2}$ by using the measurements recevied for $x_{k-1}$ and $x_{k}$. We can extend this computation back for an arbitrary $N$ steps.\n",
    "\n",
    "Derivation for this math is beyond the scope of this book; Dan Simon's *Optimal State Estimation* [2] has  a very good exposition if you are interested. The essense of the idea is that instead of having a state vector $\\mathbf{x}$ we make an augmented state containing\n",
    "\n",
    "$$\\mathbf{x} = \\begin{bmatrix}\\mathbf{x}_k \\\\ \\mathbf{x}_{k-1} \\\\ \\vdots\\\\ \\mathbf{x}_{k-N+1}\\end{bmatrix}$$\n",
    "\n",
    "This yields a very large covariance matrix that contains the covariance between states at different steps. FilterPy's class `FixedLagSmoother` takes care of all of this computation for you, including creation of the augmented matrices. All you need to do is compose it as if you are using the `KalmanFilter` class and then call `smooth()`, which implements the predict and update steps of the algorithm. \n",
    "\n",
    "Each call of `smooth` computes the estimate for the current measurement, but it also goes back and adjusts the previous `N-1` points as well. The smoothed values are contained in the list `FixedLagSmoother.xSmooth`. If you use `FixedLagSmoother.x` you will get the most recent estimate, but it is not smoothed and is no different from a standard Kalman filter output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "standard deviation fixed-lag: 2.616\n",
      "standard deviation kalman: 3.562\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from filterpy.kalman import FixedLagSmoother, KalmanFilter\n",
    "import numpy.random as random\n",
    "\n",
    "fls = FixedLagSmoother(dim_x=2, dim_z=1, N=8)\n",
    "\n",
    "fls.x = np.array([0., .5])\n",
    "fls.F = np.array([[1.,1.],\n",
    "                  [0.,1.]])\n",
    "\n",
    "fls.H = np.array([[1.,0.]])\n",
    "fls.P *= 200\n",
    "fls.R *= 5.\n",
    "fls.Q *= 0.001\n",
    "\n",
    "kf = KalmanFilter(dim_x=2, dim_z=1)\n",
    "kf.x = np.array([0., .5])\n",
    "kf.F = np.array([[1.,1.],\n",
    "                 [0.,1.]])\n",
    "kf.H = np.array([[1.,0.]])\n",
    "kf.P *= 200\n",
    "kf.R *= 5.\n",
    "kf.Q *= 0.001\n",
    "\n",
    "N = 4 # size of lag\n",
    "\n",
    "nom =  np.array([t/2. for t in range (0, 40)])\n",
    "zs = np.array([t + random.randn()*5.1 for t in nom])\n",
    "\n",
    "for z in zs:\n",
    "    fls.smooth(z)\n",
    "    \n",
    "kf_x, _, _, _ = kf.batch_filter(zs)\n",
    "x_smooth = np.array(fls.xSmooth)[:, 0]\n",
    "\n",
    "\n",
    "fls_res = abs(x_smooth - nom)\n",
    "kf_res = abs(kf_x[:, 0] - nom)\n",
    "\n",
    "plt.plot(zs,'o', alpha=0.5, marker='o', label='zs')\n",
    "plt.plot(x_smooth, label='FLS')\n",
    "plt.plot(kf_x[:, 0], label='KF', ls='--')\n",
    "plt.legend(loc=4)\n",
    "\n",
    "print('standard deviation fixed-lag: {:.3f}'.format(np.mean(fls_res)))\n",
    "print('standard deviation kalman: {:.3f}'.format(np.mean(kf_res)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here I have set `N=8` which means that we will incorporate 8 future measurements into our estimates. This provides us with a very smooth estimate once the filter converges, at the cost of roughly 8x the amount of computation of the standard Kalman filter. Feel free to experiment with larger and smaller values of `N`. I chose 8 somewhat at random, not due to any theoretical concerns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[1] H. Rauch, F. Tung, and C. Striebel. \"Maximum likelihood estimates of linear dynamic systems,\" *AIAA Journal*, **3**(8), pp. 1445-1450 (August 1965).\n",
    "\n",
    "[2] Dan Simon. \"Optimal State Estimation,\" John Wiley & Sons, 2006.\n",
    "\n",
    "http://arc.aiaa.org/doi/abs/10.2514/3.3166"
   ]
  }
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